Two-Dimensional Systems with Finite Periodic Structure

Abstract

In Sect. 5.4 bound state and scattering properties were analyzed for the case of two-dimensional structures (tubes or wires) with two identical elements, or “cells.” In this chapter that analysis will be extended to treat systems which contain a finite periodic series of identical cells. The qualitative features of bound states, transmission and conductance will be derived for such systems. The structure which emerges in systems consisting of identical cells in series will be illustrated with two general examples. The first example discussed will be systems which consist of a series of identical right angle bends separated by straight sections. The second general example will consist of tubes in which a number of identical T-stubs, or quantum dots, are connected in series. Many groups have investigated scattering phenomena in such systems [38, 75, 80, 104, 140, 141, 163].